Least Common Multiple of 306430 and 306435

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 306430 and 306435 by Prime method
• Least Common Multiple of 306430 and 306435 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306430 and 306435. First we will calculate the prime factors of 306430 and 306435.

Prime Factorization of 306430

Prime factors of 306430 are 2, 5,30643. Prime factorization of 306430 in exponential form is:

306430 = 2¹×5¹×30643¹

Prime Factorization of 306435

Prime factors of 306435 are 3, 5, 31,659. Prime factorization of 306435 in exponential form is:

306435 = 3¹×5¹×31¹×659¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306430 and 306435.

LCM(306430,306435) = 2¹×3¹×5¹×31¹×659¹×30643¹
LCM(306430,306435) = 18780175410

Factors of 306430

List of positive integer factors of 306430 that divides 306430 without a remainder.

1, 2, 5, 10, 30643, 61286, 153215, 306430

Factors of 306435

List of positive integer factors of 306435 that divides 306435 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306430 and 306435, than apply into the LCM equation.

GCF(306430,306435) = 5
LCM(306430,306435) = ( 306430 × 306435) / 5
LCM(306430,306435) = 93900877050 / 5
LCM(306430,306435) = 18780175410

(i) The LCM of 306435 and 306430 is associative

LCM of 306430 and 306435 = LCM of 306435 and 306430

1. What is the LCM of 306430 and 306435?

Answer: LCM of 306430 and 306435 is 18780175410.

2. What are the Factors of 306430?

Answer: Factors of 306430 are 1, 2, 5, 10, 30643, 61286, 153215, 306430. There are 8 integers that are factors of 306430. The greatest factor of 306430 is 306430.

3. What are the Factors of 306435?

Answer: Factors of 306435 are 1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435. There are 16 integers that are factors of 306435. The greatest factor of 306435 is 306435.

4. How to Find the LCM of 306430 and 306435?

Answer:

Least Common Multiple of 306430 and 306435 = 18780175410

Step 1: Find the prime factorization of 306430

306430 = 2 x 5 x 30643

Step 2: Find the prime factorization of 306435

306435 = 3 x 5 x 31 x 659

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18780175410 = 2 x 3 x 5 x 31 x 659 x 30643

Step 4: Therefore, the least common multiple of 306430 and 306435 is 18780175410.